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Finding the Third Proportional to 154,264 and 233,040

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Solution

The third proportional to 154,264 and 233,040 is: 352,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,264 : 233,040 = 233,040 : x
  2. Step 2: Convert to fraction form
    154,264/233,040 = 233,040/x
  3. Step 3: Cross multiply
    154,264x = 233,040 × 233,040
  4. Step 4: Simplify right side
    154,264x = 54,307,641,600
  5. Step 5: Solve for x
    x = 54,307,641,600/154,264
  6. Step 6: Final answer
    x = 352,043.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.